Mixed and stabilized finite element methods for the obstacle problem
arXiv:1603.0425737 citationsh-index: 38
AI Analysis
Provides rigorous error analysis for numerical solutions of variational inequalities, relevant for computational mechanics and optimization.
The paper develops mixed and stabilized finite element methods for the obstacle problem, deriving and numerically verifying a priori and a posteriori error estimates.
We discretize the Lagrange multiplier formulation of the obstacle problem by mixed and stabilized finite element methods. A priori and a posteriori error estimates are derived and numerically verified.